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3 years ago

3. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

7 0

Answer:

3) Obtuse

4) Right

Step-by-step explanation:

11 + 13 > 25 It is a triangle

11² + 13² = 25²

121 + 169 = 625

290 ≠ 625

Since hypotenuse is larger, the triangle is obtuse

21 + 28 > 35 It is a triangle

21² + 28² = 35²

441 + 784 = 1225

1225 = 1225

Since the hypotenuse is equal to the legs, it's a Right triangle

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Tommy waves 45 kg Jamil Woods 53 kg what is the combined weight of the two boys in grams?

Nikolay [14]

Answer:

109,000

Step-by-step explanation:

1kg = 1000g

45 + 63 = 109

109 x 1000 = 109000

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3 years ago

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

I understand the simple interest part, however I don’t understand the compounded interest part, need help quick.

Burka [1]

Compound interest is the starting amount x (1+ the interest rate as a decimal)^ the time in years=the final amount.

In your case, the equation will be $1000*(1+0.10)^how many years= the final amount.

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3 years ago

Which statement correctly identifies the line of reflection?

Alchen [17]

Answer:

the triangles are reflected across the line y= -x

hope this helps

Step-by-step explanation:

4 0

3 years ago

PLEAASE HALLP EXPLAIN!! NEED HEEELP 14 POINTS

erastova [34]

AWNSER: B or 54

Hope this helps and Happy Friday!

6 0

3 years ago